Complex matrix models and statistics of branched coverings of 2D surfaces
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Publication:1377052
DOI10.1007/S002200050269zbMATH Open0884.05013arXivhep-th/9703189OpenAlexW2012670022WikidataQ62048391 ScholiaQ62048391MaRDI QIDQ1377052
Author name not available (Why is that?)
Publication date: 1 February 1998
Published in: (Search for Journal in Brave)
Abstract: We present a complex matrix gauge model defined on an arbitrary two-dimensional orientable lattice. We rewrite the model's partition function in terms of a sum over representations of the group U(N). The model solves the general combinatorial problem of counting branched covers of orientable Riemann surfaces with any given, fixed branch point structure. We then define an appropriate continuum limit allowing the branch points to freely float over the surface. The simplest such limit reproduces two-dimensional chiral U(N) Yang-Mills theory and its string description due to Gross and Taylor.
Full work available at URL: https://arxiv.org/abs/hep-th/9703189
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